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Finding the Third Proportional to 37,619.25 and 88,800

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Solution

The third proportional to 37,619.25 and 88,800 is: 209,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,619.25 : 88,800 = 88,800 : x
  2. Step 2: Convert to fraction form
    37,619.25/88,800 = 88,800/x
  3. Step 3: Cross multiply
    37,619.25x = 88,800 × 88,800
  4. Step 4: Simplify right side
    37,619.25x = 7,885,440,000
  5. Step 5: Solve for x
    x = 7,885,440,000/37,619.25
  6. Step 6: Final answer
    x = 209,611.83

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.